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The sum of two numbers is 24 find the numbers whose squares are to be minimum?

12 and 12, whose squares will be 144 each. If either of the numbers is smaller than 12, then the other will be larger than 12 and its square will be larger than 144.


What are two numbers whose greatest common factor is 7 and whose sum is 105 such that the larger is twice the smaller and the smaller has only two prime factors?

Since one number is twice the other, the smaller number must be the greatest common factor. Since the greatest common factor is 7, that would make the other number 14. But, 7 is a prime number and has only one prime factor. However, the larger number, 14, has two prime factors. Also, the sum of the two numbers is 21, not 105. So, the information in the problem does not have a solution. Let us ignore the greatest common factor information. Let the smaller number be x. That means the larger number is 2x. x + 2x = 105 => 3x = 105 => x = 35. The two numbers are 35 and 70. The greatest common factor is 35. The smaller number, 35, has only two prime factors.


Find 2 numbers whose sum is 20 and whose difference is 8?

Designate the smaller number by s and the larger by l. Then l = s + 8; s + l = 2s + 8 = 20; 2s = 20 - 8 = 12; s = 6 and l = 14.


What is the number of 4 cm cubes which can be cut from the solid cube whose edge is 32 cm?

Edge of the larger cube = 32 cm Volume of the larger cube = (32 cm)3 = 32768 cm3 Edge of the smaller cube = 4 cm Volume of the smaller cube = (4 cm)3 = 64 cm3 Since the smaller cubes are cut from the larger cube, volume of all of them will be equal to that of the larger cube. ∴ Total number of smaller cubes × Volume of the smaller cube = Volume of the larger cube ⇒ Total number of smaller cubes = Volume of the larger cube ÷ Volume of the smaller cube ⇒ Total number of smaller cubes = 32768 ÷ 64 = 512 Thus, 512 smaller cubes can be cut from the larger one.


Find two number whose sum is 47 and difference is 29?

Subtract the difference and half your answer, giving 9 which is the smaller number, add the difference to this and you get 38 which is the larger number.


What is another name for a pair of numbers whose greatest common factor is the same as one of the numbers?

Oh honey, those are called "relatively prime" numbers. It's like having a best friend who doesn't share any common factors with you - they're just there to support you and lift you up without any drama. Keep it simple and keep it sassy!


How do you compare two fractions whose numerators are the same?

If the fractions have the same numerator (top number), then the fraction with the larger denominator (bottom number) is the smaller fraction, which implies that the fraction with the smaller denominator is the larger fraction. For example with 1/2 and 1/4, it can be easily seen that 1/2 is the larger of the two.


What has 6 congruent rectangles?

A larger rectangle whose width is twice as long as one of the smaller rectangles and whose length is three times that of one of the smaller rectangles.


How do you know whether a number is a multiple of another number?

You test by := All EVEN Numbers are divisible by '2' All numbers ending in '5' or ''0' are divisible by '5' All numbers whose digits add to '9' are divisible by '9'. e.g. 234 2+3+4 = 9 All numbers whose form is ' m(m+n)n ' e.g. 132 are divisible by '11'. This leaves only '3' and '7' to test by actual division.


The smaller of two triangular numbers whose sum and difference are also triangular numbers?

the answer is of course 12


Find two consecutive integers whose sum is eighty nine let x be the smaller of these two integers what is the larger of these two consecutive integers what r the two numbers?

44 & 45


Is the sum of 2 integers always greater than the difference between them?

No. Consider 0 and 1. Or negative numbers, whose sum produces a smaller number.